Relativistic total cross section and angular distribution for Rayleigh scattering by atomic hydrogen

Abstract

We study the total cross section and angular distribution in Rayleigh scattering by hydrogen atom in the ground state, within the framework of Dirac relativistic equation and second-order perturbation theory. The relativistic states used for the calculations are obtained by making use of the finite basis set method and expressed in terms of B-splines and B-polynomials. We pay particular attention to the effects that arise from higher (non-dipole) terms in the expansion of the electron-photon interaction. It is shown that the angular distribution of scattered photons, while it is symmetric with respect to the scattering angle $\theta$=90${}^{\circ }$ within the electric dipole approximation, becomes asymmetric when higher multipoles are taken into account. The analytical expression of the angular distribution is parametrized in terms of Legendre polynomials. Detailed calculations are performed for photons in the energy range 0.5 to 10 keV. When possible, results are compared with previous calculations.

8 pages, 5 figures

References in corpus (9)

• Resonant effects on the two-photon emission from hydrogenic ions
• Rayleigh Scattering Cross Section Redward of Ly$\alpha$ by Atomic Hydrogen
• The effect of light assisted collisions on matter wave coherence in superradiant Bose-Einstein condensates
• Angular correlations in the two--photon decay of helium--like heavy ions
• Quantum correlations in the two-photon decay of few-electron ions
• Calculation of the two-photon decay rates of hydrogen-like ions by using B-polynomials
• Anomalous light shift through quantum jumps in quasi-resonant Rayleigh scattering
• Polarization correlations in the two--photon decay of hydrogen--like ions
• Photon-photon polarization correlations as a tool for studying parity non-conservation in heliumlike Uranium

Cited by in corpus (10)

• Double-Electromagnetically Induced Transparency in a Y-type atomic system
• Relativistic polarization analysis of Rayleigh scattering by atomic hydrogen
• Parametrization of the angular correlation and degree of linear polarization in two-photon decays of hydrogen-like ions
• Angular and polarization analysis for two-photon decay of 2s hyperfine states of hydrogenlike Uranium
• Stabilization method with Relativistic Configuration-interaction applied to two-electron resonances
• Spin effects probed by Rayleigh X-ray scattering off hydrogenic ions
• Beam test studies for a SiPM-based RICH detector prototype for the future ALICE~3 experiment
• Analytical evaluation of atomic form factors: application to Rayleigh scattering
• Two-photon processes based on quantum commutators
• Laser excitation of the 1s-hyperfine transition in muonic hydrogen